11457.02 is what percent of 110385.11 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 110385.11 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 110385.11, so we can write it down as 100%=110385.11.
4. We know, that x% equals 11457.02 of the output value, so we can write it down as x%=11457.02.
5. Now we have two simple equations:
1) 100%=110385.11
2) x%=11457.02
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=110385.11/11457.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11457.02 is what percent of 110385.11

100%/x%=110385.11/11457.02
(100/x)*x=(110385.11/11457.02)*x       - we multiply both sides of the equation by x
100=9.6347139133911*x       - we divide both sides of the equation by (9.6347139133911) to get x
100/9.6347139133911=x
10.379135374327=x
x=10.379135374327

now we have:
11457.02 is 10.379135374327% of 110385.11